Waves practice · Medium

A stretched string of length $l$ fixed at both ends can sustain stationary waves of wavelength $\lambda$ given by

Which of the following equations represents a travelling wave?

There are two organ pipes of the same length and the same material but of different radii. When they are emitting fundamental notes -

A tuning fork of frequency $340 \mathrm{~Hz}$ is vibrated just above a cylindrical tube of length $120 \mathrm{~cm}$. Water is slowly poured in the tube. If the speed of sound in air is $340 \mathrm{~m} / \mathrm{s}$. Find the minimum height of water required for resonance. $(v=$ $340 \mathrm{~m} / \mathrm{s}$ )

A tuning fork produces 4 beats/s when sounded with a tuning fork of frequency $512 \mathrm{~Hz}$. The same tuning fork when sounded with another tuning fork of frequency $514 \mathrm{~Hz}$ produces 6 beats/s. Find the frequency of the tuning fork.

Assertion: Sound would travel faster on a hot summer day than on cold winterday.
Reason: Velocity of sound is directly proportional to the square of its absolute temperature

Two wires are producing fundamental notes of the same frequency. Change in which of the following factors of one wire will not produce beats between them

When two tuning forks $A$ and $B$ are sounded together, 4 beats per second are heard. The frequency of the fork $B$ is $384 \mathrm{~Hz}$. When one of the prongs of the fork $A$ is filled and sounded with $B$, the beat frequency increases, then the frequency of the fork $A$ is

Which one of the following does not represent a travelling wave?

A resonating column has resonant frequencies as $100 \mathrm{~Hz}, 300 \mathrm{~Hz}, 500 \mathrm{~Hz}$. Then, it may be

A device used for investigating the vibration of a fixed string of wire is

Equation of progressive wave is
$y = a\,\,\sin \left[ {10\,\pi x + 11\,\pi t + \frac{\pi }{3}} \right]$

The transverse displacement of a stretched string which is connected between two rigid supports is given by $y = 0.06\sin \left( {\frac{{2\pi x}}{5} - 80\pi t} \right)$ where x and y are in metre and t in sec. Length of string is 1.5 m and its mass is $3 \times {10^{ - 2}}\,kg.$ Then tension in string will be:-

When we hear a sound, we can identify its source from

A string of length $0.4\,\,m$ and mass ${10^{ - 2}}$ kg is tightly clamped at the ends. The tension in the string is $1.6\mathrm{ }N$. Identical wave pulses are produced at one end at equal intervals of time $\Delta t$. The minimum value of $\Delta t$, which allows constructive interference between successive pulses is

The displacement $y$ of a particle is given by $y = 4\,\,{\cos ^{ 2}}\left( {\frac{t}{2}} \right)\,\,\sin \left( {1000t} \right)$. This expression may be considered to be a result of the superposition of how many simple harmonic motions?

A uniform wire of length $L$, diameter $D$ and density $S$ is stretched under a tension $T$. the correct relation between its fundamental frequency $f$, the length $L$ and the diameter $D$ is

The equation of a progressive wave is $y = a\sin (\omega t - kx)$ then the velocity of the wave is

Assertion: When a stone is dropped in water the amplitude of progressive wave decreases with distance.
Reason: Amplitude of spherical wavefront is inversely proportional to radius.

The property of a medium necessary for wave propagation is:

The equation of wave is given by $y=A \sin \omega\left[\frac{x}{v}-k\right]$, where $\omega$ is the angular velocity and $v$ is the linear velocity. The dimensional formula of $\omega$ is

Consecutive frequencies emitted from a closed organ pipe are $75 {~Hz}, 125 {~Hz}, 175 {~Hz}$. The frequency of the tenth overtone will be;

In a stationary wave, all the particles

The waves in which the particles of the medium vibrate in a direction perpendicular to the direction of wave motion is known as

If the pressure amplitude in a sound wave is tripled, then the intensity of sound is increased by a factor of

Statement-I: The intensity of sound increases with increase in the density of the medium.
Statement-II: The sound heard is more intense in carbon dioxide in comparison to air.

Fundamental frequency of an open pipe of length $0.5\,\,m$ is equal to the frequency of the first overtone of a closed pipe of length $l$. The value of ${l_c}$ is $\left( m \right)$

A uniform heavy string of mass M hangs vertically from a rigid ceiling. A transverse wave is sent from its free end towards fixed end. As the wave moves upward

The periodic waves of amplitudes $A_1$ and $A_2$ pass through a region. If $A_1 > A_2$, the difference in the maximum and minimum resultant amplitudes possible is

In stationary waves all particles between two nodes pass through the mean position